Antiperiodic boundary value problem for a semilinear differential equation of fractional order (Q2228429)
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scientific article
| Language | Label | Description | Also known as |
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| English | Antiperiodic boundary value problem for a semilinear differential equation of fractional order |
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Antiperiodic boundary value problem for a semilinear differential equation of fractional order (English)
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17 February 2021
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The paper is concerned with the existence of solutions to an antiperiodic boundary value problem involving a Caputo fractional derivative in a separable Banach space. By using the Mittag-Leffler function and a suitably constructed Green's function, the author reduces the original problem to that of finding a fixed point for a related integral operator. The result is obtained by applying a fixed point theorem for continuous condensing mappings.
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Caputo fractional derivative
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semilinear differential equation
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boundary value problem
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fixed point
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condensing mapping
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measure of noncompactness
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